AMS 261 — Applied Calculus III: Multivariable Calculus
Vector geometry, partial derivatives, multiple integrals, line and surface integrals, and the classical theorems of Green, Stokes, and Gauss.
Instructor: Prof. Tan H. Cao
Term: Spring
Location: SUNY Korea
🔗 Official course page (Stony Brook AMS): AMS 261 — Applied Calculus III
Course overview
A standard third-semester calculus course covering multivariable differential and integral calculus, with applications to physics and engineering.
Main topics
- Vectors in $\mathbb{R}^2$ and $\mathbb{R}^3$; lines and planes
- Functions of several variables; partial derivatives; the gradient
- Chain rule, directional derivatives, Lagrange multipliers
- Double and triple integrals; change of variables
- Vector fields, line integrals, surface integrals
- Theorems of Green, Stokes, and Gauss
Prerequisites
AMS 161 (Applied Calculus II) or equivalent.
Materials
Provided through Brightspace.